8929134864 has 120 divisors (see below), whose sum is σ = 26959732800. Its totient is φ = 2742494976.

The previous prime is 8929134847. The next prime is 8929134869. The reversal of 8929134864 is 4684319298.

8929134864 is a `hidden beast` number, since 8 + 9 + 291 + 348 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8929134864.

It is not an unprimeable number, because it can be changed into a prime (8929134869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117347 + ... + 1125309.

It is an arithmetic number, because the mean of its divisors is an integer number (224664440).

Almost surely, 2^8929134864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8929134864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479866400).

8929134864 is an abundant number, since it is smaller than the sum of its proper divisors (18030597936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8929134864 is a wasteful number, since it uses less digits than its factorization.

8929134864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8580 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 8929134864 is about 94494.0996253205. The cubic root of 8929134864 is about 2074.6099708401.

The spelling of 8929134864 in words is "eight billion, nine hundred twenty-nine million, one hundred thirty-four thousand, eight hundred sixty-four".